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On Finite A-Groups with Complementable Nonmetacyclic Subgroups

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study groups G satisfying the following conditions:

(i) G is a finite solvable group with nonidentity metacyclic second derived subgroup;

(ii) all Sylow subgroups of G are Abelian, but not all of them are elementary Abelian.

We give a description of the structure of such groups with complementable nonmetacyclic subgroups.

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Authors and Affiliations

  1. National Aviation University, Kiev

    P. P. Baryshovets

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  1. P. P. Baryshovets
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Baryshovets, P.P. On Finite A-Groups with Complementable Nonmetacyclic Subgroups. Ukrainian Mathematical Journal 54, 1207–1211 (2002). https://doi.org/10.1023/A:1022082829633

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